BIE formulation for axisymmetric transient heat conduction applications

Boundary integral equation method is proposed for axisymmetric transient heat transfer applications covering spatially varying heat sources. The radial integral approach using the normalized temperature, thus, eliminating temperature gradients involved, is utilized to switch two-dimensional integrals to the equivalent line-related integrals. The derivative of the temperature is approximated using the finite difference method. To evaluate time-depended equations, the time-marching scheme is adopted. The proposed boundary integral formulation is implemented into axisymmetric applications to assess its accuracy.